Finding the Fourth Proportional to 3,137.82, 4,696.56 and 2,315.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,137.82 : 4,696.56 = 2,315.76 : x
2. Step 2: Convert to fraction form
   3,137.82/4,696.56 = 2,315.76/x
3. Step 3: Cross multiply
   3,137.82x = 4,696.56 × 2,315.76
4. Step 4: Simplify right side
   3,137.82x = 10,876,105.79
5. Step 5: Solve for x
   x = 10,876,105.79/3,137.82
6. Step 6: Final answer
   x = 3,466.13